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Finding the Fourth Proportional to 356.36, 532.34 and 258.02

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Solution

The fourth proportional to 356.36, 532.34 and 258.02 is: 385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.36 : 532.34 = 258.02 : x
  2. Step 2: Convert to fraction form
    356.36/532.34 = 258.02/x
  3. Step 3: Cross multiply
    356.36x = 532.34 × 258.02
  4. Step 4: Simplify right side
    356.36x = 137,351.71
  5. Step 5: Solve for x
    x = 137,351.71/356.36
  6. Step 6: Final answer
    x = 385.43

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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.