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Finding the Fourth Proportional to 436.02, 654.29 and 176.15

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Solution

The fourth proportional to 436.02, 654.29 and 176.15 is: 264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.02 : 654.29 = 176.15 : x
  2. Step 2: Convert to fraction form
    436.02/654.29 = 176.15/x
  3. Step 3: Cross multiply
    436.02x = 654.29 × 176.15
  4. Step 4: Simplify right side
    436.02x = 115,253.18
  5. Step 5: Solve for x
    x = 115,253.18/436.02
  6. Step 6: Final answer
    x = 264.33

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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.