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Finding the Fourth Proportional to 261.16, 389.88 and 224.60

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Solution

The fourth proportional to 261.16, 389.88 and 224.60 is: 335.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.16 : 389.88 = 224.60 : x
  2. Step 2: Convert to fraction form
    261.16/389.88 = 224.60/x
  3. Step 3: Cross multiply
    261.16x = 389.88 × 224.60
  4. Step 4: Simplify right side
    261.16x = 87,565.10
  5. Step 5: Solve for x
    x = 87,565.10/261.16
  6. Step 6: Final answer
    x = 335.30

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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.