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Finding the Fourth Proportional to 436.78, 654.68 and 176.70

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Solution

The fourth proportional to 436.78, 654.68 and 176.70 is: 264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.78 : 654.68 = 176.70 : x
  2. Step 2: Convert to fraction form
    436.78/654.68 = 176.70/x
  3. Step 3: Cross multiply
    436.78x = 654.68 × 176.70
  4. Step 4: Simplify right side
    436.78x = 115,681.17
  5. Step 5: Solve for x
    x = 115,681.17/436.78
  6. Step 6: Final answer
    x = 264.85

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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.