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Finding the Fourth Proportional to 417.30, 625.74 and 128.70

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Solution

The fourth proportional to 417.30, 625.74 and 128.70 is: 192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.30 : 625.74 = 128.70 : x
  2. Step 2: Convert to fraction form
    417.30/625.74 = 128.70/x
  3. Step 3: Cross multiply
    417.30x = 625.74 × 128.70
  4. Step 4: Simplify right side
    417.30x = 80,532.74
  5. Step 5: Solve for x
    x = 80,532.74/417.30
  6. Step 6: Final answer
    x = 192.99

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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.