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Finding the Fourth Proportional to 315.58, 471.06 and 292.71

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Solution

The fourth proportional to 315.58, 471.06 and 292.71 is: 436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.58 : 471.06 = 292.71 : x
  2. Step 2: Convert to fraction form
    315.58/471.06 = 292.71/x
  3. Step 3: Cross multiply
    315.58x = 471.06 × 292.71
  4. Step 4: Simplify right side
    315.58x = 137,883.97
  5. Step 5: Solve for x
    x = 137,883.97/315.58
  6. Step 6: Final answer
    x = 436.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.