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Finding the Fourth Proportional to 340.62, 508.68 and 297.42

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Solution

The fourth proportional to 340.62, 508.68 and 297.42 is: 444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.62 : 508.68 = 297.42 : x
  2. Step 2: Convert to fraction form
    340.62/508.68 = 297.42/x
  3. Step 3: Cross multiply
    340.62x = 508.68 × 297.42
  4. Step 4: Simplify right side
    340.62x = 151,291.61
  5. Step 5: Solve for x
    x = 151,291.61/340.62
  6. Step 6: Final answer
    x = 444.17

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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.