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Finding the Fourth Proportional to 434.88, 652.01 and 157.14

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Solution

The fourth proportional to 434.88, 652.01 and 157.14 is: 235.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.88 : 652.01 = 157.14 : x
  2. Step 2: Convert to fraction form
    434.88/652.01 = 157.14/x
  3. Step 3: Cross multiply
    434.88x = 652.01 × 157.14
  4. Step 4: Simplify right side
    434.88x = 102,456.07
  5. Step 5: Solve for x
    x = 102,456.07/434.88
  6. Step 6: Final answer
    x = 235.60

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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.