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Finding the Fourth Proportional to 429.09, 592.16 and 402.99

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Solution

The fourth proportional to 429.09, 592.16 and 402.99 is: 556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.09 : 592.16 = 402.99 : x
  2. Step 2: Convert to fraction form
    429.09/592.16 = 402.99/x
  3. Step 3: Cross multiply
    429.09x = 592.16 × 402.99
  4. Step 4: Simplify right side
    429.09x = 238,632.54
  5. Step 5: Solve for x
    x = 238,632.54/429.09
  6. Step 6: Final answer
    x = 556.14

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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.