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Finding the Fourth Proportional to 417.23, 625.91 and 157.25

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Solution

The fourth proportional to 417.23, 625.91 and 157.25 is: 235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.23 : 625.91 = 157.25 : x
  2. Step 2: Convert to fraction form
    417.23/625.91 = 157.25/x
  3. Step 3: Cross multiply
    417.23x = 625.91 × 157.25
  4. Step 4: Simplify right side
    417.23x = 98,424.35
  5. Step 5: Solve for x
    x = 98,424.35/417.23
  6. Step 6: Final answer
    x = 235.90

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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.