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Finding the Fourth Proportional to 306.15, 458.88 and 123.53

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Solution

The fourth proportional to 306.15, 458.88 and 123.53 is: 185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.15 : 458.88 = 123.53 : x
  2. Step 2: Convert to fraction form
    306.15/458.88 = 123.53/x
  3. Step 3: Cross multiply
    306.15x = 458.88 × 123.53
  4. Step 4: Simplify right side
    306.15x = 56,683.15
  5. Step 5: Solve for x
    x = 56,683.15/306.15
  6. Step 6: Final answer
    x = 185.15

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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.