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Finding the Fourth Proportional to 357.58, 534.52 and 265.42

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Solution

The fourth proportional to 357.58, 534.52 and 265.42 is: 396.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.58 : 534.52 = 265.42 : x
  2. Step 2: Convert to fraction form
    357.58/534.52 = 265.42/x
  3. Step 3: Cross multiply
    357.58x = 534.52 × 265.42
  4. Step 4: Simplify right side
    357.58x = 141,872.30
  5. Step 5: Solve for x
    x = 141,872.30/357.58
  6. Step 6: Final answer
    x = 396.76

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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.