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Finding the Fourth Proportional to 434.74, 652.20 and 146.20

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Solution

The fourth proportional to 434.74, 652.20 and 146.20 is: 219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.74 : 652.20 = 146.20 : x
  2. Step 2: Convert to fraction form
    434.74/652.20 = 146.20/x
  3. Step 3: Cross multiply
    434.74x = 652.20 × 146.20
  4. Step 4: Simplify right side
    434.74x = 95,351.64
  5. Step 5: Solve for x
    x = 95,351.64/434.74
  6. Step 6: Final answer
    x = 219.33

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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.