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Finding the Fourth Proportional to 345.76, 477.19 and 240.82

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Solution

The fourth proportional to 345.76, 477.19 and 240.82 is: 332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.76 : 477.19 = 240.82 : x
  2. Step 2: Convert to fraction form
    345.76/477.19 = 240.82/x
  3. Step 3: Cross multiply
    345.76x = 477.19 × 240.82
  4. Step 4: Simplify right side
    345.76x = 114,916.90
  5. Step 5: Solve for x
    x = 114,916.90/345.76
  6. Step 6: Final answer
    x = 332.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.