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Finding the Fourth Proportional to 315.70, 471.23 and 292.54

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Solution

The fourth proportional to 315.70, 471.23 and 292.54 is: 436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.70 : 471.23 = 292.54 : x
  2. Step 2: Convert to fraction form
    315.70/471.23 = 292.54/x
  3. Step 3: Cross multiply
    315.70x = 471.23 × 292.54
  4. Step 4: Simplify right side
    315.70x = 137,851.27
  5. Step 5: Solve for x
    x = 137,851.27/315.70
  6. Step 6: Final answer
    x = 436.66

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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.