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Finding the Fourth Proportional to 265.61, 396.15 and 261.00

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Solution

The fourth proportional to 265.61, 396.15 and 261.00 is: 389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.61 : 396.15 = 261.00 : x
  2. Step 2: Convert to fraction form
    265.61/396.15 = 261.00/x
  3. Step 3: Cross multiply
    265.61x = 396.15 × 261.00
  4. Step 4: Simplify right side
    265.61x = 103,393.17
  5. Step 5: Solve for x
    x = 103,393.17/265.61
  6. Step 6: Final answer
    x = 389.27

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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.