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Finding the Fourth Proportional to 304.67, 457.20 and 158.55

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Solution

The fourth proportional to 304.67, 457.20 and 158.55 is: 237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.67 : 457.20 = 158.55 : x
  2. Step 2: Convert to fraction form
    304.67/457.20 = 158.55/x
  3. Step 3: Cross multiply
    304.67x = 457.20 × 158.55
  4. Step 4: Simplify right side
    304.67x = 72,489.06
  5. Step 5: Solve for x
    x = 72,489.06/304.67
  6. Step 6: Final answer
    x = 237.93

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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.