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Finding the Fourth Proportional to 360.16, 542.32 and 264.64

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Solution

The fourth proportional to 360.16, 542.32 and 264.64 is: 398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.16 : 542.32 = 264.64 : x
  2. Step 2: Convert to fraction form
    360.16/542.32 = 264.64/x
  3. Step 3: Cross multiply
    360.16x = 542.32 × 264.64
  4. Step 4: Simplify right side
    360.16x = 143,519.56
  5. Step 5: Solve for x
    x = 143,519.56/360.16
  6. Step 6: Final answer
    x = 398.49

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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.