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Finding the Fourth Proportional to 265.27, 400.40 and 265.27

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Solution

The fourth proportional to 265.27, 400.40 and 265.27 is: 400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.27 : 400.40 = 265.27 : x
  2. Step 2: Convert to fraction form
    265.27/400.40 = 265.27/x
  3. Step 3: Cross multiply
    265.27x = 400.40 × 265.27
  4. Step 4: Simplify right side
    265.27x = 106,214.11
  5. Step 5: Solve for x
    x = 106,214.11/265.27
  6. Step 6: Final answer
    x = 400.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.