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Finding the Fourth Proportional to 371.88, 510.48 and 342.72

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Solution

The fourth proportional to 371.88, 510.48 and 342.72 is: 470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.88 : 510.48 = 342.72 : x
  2. Step 2: Convert to fraction form
    371.88/510.48 = 342.72/x
  3. Step 3: Cross multiply
    371.88x = 510.48 × 342.72
  4. Step 4: Simplify right side
    371.88x = 174,951.71
  5. Step 5: Solve for x
    x = 174,951.71/371.88
  6. Step 6: Final answer
    x = 470.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.