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Finding the Fourth Proportional to 268.53, 400.57 and 265.01

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Solution

The fourth proportional to 268.53, 400.57 and 265.01 is: 395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.53 : 400.57 = 265.01 : x
  2. Step 2: Convert to fraction form
    268.53/400.57 = 265.01/x
  3. Step 3: Cross multiply
    268.53x = 400.57 × 265.01
  4. Step 4: Simplify right side
    268.53x = 106,155.72
  5. Step 5: Solve for x
    x = 106,155.72/268.53
  6. Step 6: Final answer
    x = 395.32

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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.