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Finding the Fourth Proportional to 340.40, 508.28 and 279.66

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Solution

The fourth proportional to 340.40, 508.28 and 279.66 is: 417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.40 : 508.28 = 279.66 : x
  2. Step 2: Convert to fraction form
    340.40/508.28 = 279.66/x
  3. Step 3: Cross multiply
    340.40x = 508.28 × 279.66
  4. Step 4: Simplify right side
    340.40x = 142,145.58
  5. Step 5: Solve for x
    x = 142,145.58/340.40
  6. Step 6: Final answer
    x = 417.58

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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.