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Finding the Fourth Proportional to 373.16, 514.68 and 261.28

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Solution

The fourth proportional to 373.16, 514.68 and 261.28 is: 360.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.16 : 514.68 = 261.28 : x
  2. Step 2: Convert to fraction form
    373.16/514.68 = 261.28/x
  3. Step 3: Cross multiply
    373.16x = 514.68 × 261.28
  4. Step 4: Simplify right side
    373.16x = 134,473.02
  5. Step 5: Solve for x
    x = 134,473.02/373.16
  6. Step 6: Final answer
    x = 360.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.