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Finding the Fourth Proportional to 340.38, 508.28 and 275.45

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Solution

The fourth proportional to 340.38, 508.28 and 275.45 is: 411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.38 : 508.28 = 275.45 : x
  2. Step 2: Convert to fraction form
    340.38/508.28 = 275.45/x
  3. Step 3: Cross multiply
    340.38x = 508.28 × 275.45
  4. Step 4: Simplify right side
    340.38x = 140,001.81
  5. Step 5: Solve for x
    x = 140,001.81/340.38
  6. Step 6: Final answer
    x = 411.31

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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.