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Finding the Fourth Proportional to 507.29, 761.15 and 233.51

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Solution

The fourth proportional to 507.29, 761.15 and 233.51 is: 350.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.29 : 761.15 = 233.51 : x
  2. Step 2: Convert to fraction form
    507.29/761.15 = 233.51/x
  3. Step 3: Cross multiply
    507.29x = 761.15 × 233.51
  4. Step 4: Simplify right side
    507.29x = 177,736.87
  5. Step 5: Solve for x
    x = 177,736.87/507.29
  6. Step 6: Final answer
    x = 350.36

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.