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Finding the Fourth Proportional to 507.21, 700.19 and 342.28

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Solution

The fourth proportional to 507.21, 700.19 and 342.28 is: 472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.21 : 700.19 = 342.28 : x
  2. Step 2: Convert to fraction form
    507.21/700.19 = 342.28/x
  3. Step 3: Cross multiply
    507.21x = 700.19 × 342.28
  4. Step 4: Simplify right side
    507.21x = 239,659.47
  5. Step 5: Solve for x
    x = 239,659.47/507.21
  6. Step 6: Final answer
    x = 472.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.