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Finding the Fourth Proportional to 292.23, 439.38 and 282.51

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Solution

The fourth proportional to 292.23, 439.38 and 282.51 is: 424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.23 : 439.38 = 282.51 : x
  2. Step 2: Convert to fraction form
    292.23/439.38 = 282.51/x
  3. Step 3: Cross multiply
    292.23x = 439.38 × 282.51
  4. Step 4: Simplify right side
    292.23x = 124,129.24
  5. Step 5: Solve for x
    x = 124,129.24/292.23
  6. Step 6: Final answer
    x = 424.77

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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.