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Finding the Fourth Proportional to 356.39, 533.68 and 258.89

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Solution

The fourth proportional to 356.39, 533.68 and 258.89 is: 387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.39 : 533.68 = 258.89 : x
  2. Step 2: Convert to fraction form
    356.39/533.68 = 258.89/x
  3. Step 3: Cross multiply
    356.39x = 533.68 × 258.89
  4. Step 4: Simplify right side
    356.39x = 138,165.10
  5. Step 5: Solve for x
    x = 138,165.10/356.39
  6. Step 6: Final answer
    x = 387.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.