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Finding the Fourth Proportional to 356.56, 532.58 and 298.40

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Solution

The fourth proportional to 356.56, 532.58 and 298.40 is: 445.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.56 : 532.58 = 298.40 : x
  2. Step 2: Convert to fraction form
    356.56/532.58 = 298.40/x
  3. Step 3: Cross multiply
    356.56x = 532.58 × 298.40
  4. Step 4: Simplify right side
    356.56x = 158,921.87
  5. Step 5: Solve for x
    x = 158,921.87/356.56
  6. Step 6: Final answer
    x = 445.71

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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.