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Finding the Fourth Proportional to 265.95, 364.50 and 257.72

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Solution

The fourth proportional to 265.95, 364.50 and 257.72 is: 353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.95 : 364.50 = 257.72 : x
  2. Step 2: Convert to fraction form
    265.95/364.50 = 257.72/x
  3. Step 3: Cross multiply
    265.95x = 364.50 × 257.72
  4. Step 4: Simplify right side
    265.95x = 93,937.12
  5. Step 5: Solve for x
    x = 93,937.12/265.95
  6. Step 6: Final answer
    x = 353.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.