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Finding the Fourth Proportional to 292.11, 432.99 and 287.52

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Solution

The fourth proportional to 292.11, 432.99 and 287.52 is: 426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.11 : 432.99 = 287.52 : x
  2. Step 2: Convert to fraction form
    292.11/432.99 = 287.52/x
  3. Step 3: Cross multiply
    292.11x = 432.99 × 287.52
  4. Step 4: Simplify right side
    292.11x = 124,493.28
  5. Step 5: Solve for x
    x = 124,493.28/292.11
  6. Step 6: Final answer
    x = 426.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.