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Finding the Fourth Proportional to 360.32, 537.52 and 306.56

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Solution

The fourth proportional to 360.32, 537.52 and 306.56 is: 457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.32 : 537.52 = 306.56 : x
  2. Step 2: Convert to fraction form
    360.32/537.52 = 306.56/x
  3. Step 3: Cross multiply
    360.32x = 537.52 × 306.56
  4. Step 4: Simplify right side
    360.32x = 164,782.13
  5. Step 5: Solve for x
    x = 164,782.13/360.32
  6. Step 6: Final answer
    x = 457.32

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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.