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Finding the Fourth Proportional to 340.43, 509.72 and 177.78

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Solution

The fourth proportional to 340.43, 509.72 and 177.78 is: 266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.43 : 509.72 = 177.78 : x
  2. Step 2: Convert to fraction form
    340.43/509.72 = 177.78/x
  3. Step 3: Cross multiply
    340.43x = 509.72 × 177.78
  4. Step 4: Simplify right side
    340.43x = 90,617.13
  5. Step 5: Solve for x
    x = 90,617.13/340.43
  6. Step 6: Final answer
    x = 266.19

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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.