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Finding the Fourth Proportional to 265.77, 397.01 and 252.45

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Solution

The fourth proportional to 265.77, 397.01 and 252.45 is: 377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.77 : 397.01 = 252.45 : x
  2. Step 2: Convert to fraction form
    265.77/397.01 = 252.45/x
  3. Step 3: Cross multiply
    265.77x = 397.01 × 252.45
  4. Step 4: Simplify right side
    265.77x = 100,225.81
  5. Step 5: Solve for x
    x = 100,225.81/265.77
  6. Step 6: Final answer
    x = 377.11

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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.