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Finding the Fourth Proportional to 315.54, 470.51 and 292.47

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Solution

The fourth proportional to 315.54, 470.51 and 292.47 is: 436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.54 : 470.51 = 292.47 : x
  2. Step 2: Convert to fraction form
    315.54/470.51 = 292.47/x
  3. Step 3: Cross multiply
    315.54x = 470.51 × 292.47
  4. Step 4: Simplify right side
    315.54x = 137,608.60
  5. Step 5: Solve for x
    x = 137,608.60/315.54
  6. Step 6: Final answer
    x = 436.11

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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.