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Finding the Fourth Proportional to 417.13, 625.69 and 139.48

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Solution

The fourth proportional to 417.13, 625.69 and 139.48 is: 209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.13 : 625.69 = 139.48 : x
  2. Step 2: Convert to fraction form
    417.13/625.69 = 139.48/x
  3. Step 3: Cross multiply
    417.13x = 625.69 × 139.48
  4. Step 4: Simplify right side
    417.13x = 87,271.24
  5. Step 5: Solve for x
    x = 87,271.24/417.13
  6. Step 6: Final answer
    x = 209.22

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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.