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Finding the Fourth Proportional to 388.16, 532.04 and 382.76

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Solution

The fourth proportional to 388.16, 532.04 and 382.76 is: 524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.16 : 532.04 = 382.76 : x
  2. Step 2: Convert to fraction form
    388.16/532.04 = 382.76/x
  3. Step 3: Cross multiply
    388.16x = 532.04 × 382.76
  4. Step 4: Simplify right side
    388.16x = 203,643.63
  5. Step 5: Solve for x
    x = 203,643.63/388.16
  6. Step 6: Final answer
    x = 524.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.