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Finding the Fourth Proportional to 306.01, 458.95 and 143.61

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Solution

The fourth proportional to 306.01, 458.95 and 143.61 is: 215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.01 : 458.95 = 143.61 : x
  2. Step 2: Convert to fraction form
    306.01/458.95 = 143.61/x
  3. Step 3: Cross multiply
    306.01x = 458.95 × 143.61
  4. Step 4: Simplify right side
    306.01x = 65,909.81
  5. Step 5: Solve for x
    x = 65,909.81/306.01
  6. Step 6: Final answer
    x = 215.38

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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.