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Finding the Fourth Proportional to 388.53, 533.36 and 384.88

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Solution

The fourth proportional to 388.53, 533.36 and 384.88 is: 528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.53 : 533.36 = 384.88 : x
  2. Step 2: Convert to fraction form
    388.53/533.36 = 384.88/x
  3. Step 3: Cross multiply
    388.53x = 533.36 × 384.88
  4. Step 4: Simplify right side
    388.53x = 205,279.60
  5. Step 5: Solve for x
    x = 205,279.60/388.53
  6. Step 6: Final answer
    x = 528.35

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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.