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Finding the Fourth Proportional to 315.12, 472.64 and 98.62

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Solution

The fourth proportional to 315.12, 472.64 and 98.62 is: 147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.12 : 472.64 = 98.62 : x
  2. Step 2: Convert to fraction form
    315.12/472.64 = 98.62/x
  3. Step 3: Cross multiply
    315.12x = 472.64 × 98.62
  4. Step 4: Simplify right side
    315.12x = 46,611.76
  5. Step 5: Solve for x
    x = 46,611.76/315.12
  6. Step 6: Final answer
    x = 147.92

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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.