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Finding the Fourth Proportional to 340.43, 508.66 and 298.76

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Solution

The fourth proportional to 340.43, 508.66 and 298.76 is: 446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.43 : 508.66 = 298.76 : x
  2. Step 2: Convert to fraction form
    340.43/508.66 = 298.76/x
  3. Step 3: Cross multiply
    340.43x = 508.66 × 298.76
  4. Step 4: Simplify right side
    340.43x = 151,967.26
  5. Step 5: Solve for x
    x = 151,967.26/340.43
  6. Step 6: Final answer
    x = 446.40

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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.