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Finding the Fourth Proportional to 914.77, 1,372.17 and 265.50

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Solution

The fourth proportional to 914.77, 1,372.17 and 265.50 is: 398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.77 : 1,372.17 = 265.50 : x
  2. Step 2: Convert to fraction form
    914.77/1,372.17 = 265.50/x
  3. Step 3: Cross multiply
    914.77x = 1,372.17 × 265.50
  4. Step 4: Simplify right side
    914.77x = 364,312.13
  5. Step 5: Solve for x
    x = 364,312.13/914.77
  6. Step 6: Final answer
    x = 398.25

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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.