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Finding the Fourth Proportional to 356.83, 532.82 and 305.39

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Solution

The fourth proportional to 356.83, 532.82 and 305.39 is: 456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.83 : 532.82 = 305.39 : x
  2. Step 2: Convert to fraction form
    356.83/532.82 = 305.39/x
  3. Step 3: Cross multiply
    356.83x = 532.82 × 305.39
  4. Step 4: Simplify right side
    356.83x = 162,717.90
  5. Step 5: Solve for x
    x = 162,717.90/356.83
  6. Step 6: Final answer
    x = 456.01

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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.