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Finding the Fourth Proportional to 388.64, 583.02 and 132.20

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Solution

The fourth proportional to 388.64, 583.02 and 132.20 is: 198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.64 : 583.02 = 132.20 : x
  2. Step 2: Convert to fraction form
    388.64/583.02 = 132.20/x
  3. Step 3: Cross multiply
    388.64x = 583.02 × 132.20
  4. Step 4: Simplify right side
    388.64x = 77,075.24
  5. Step 5: Solve for x
    x = 77,075.24/388.64
  6. Step 6: Final answer
    x = 198.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.