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Finding the Fourth Proportional to 385.24, 573.68 and 384.16

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Solution

The fourth proportional to 385.24, 573.68 and 384.16 is: 572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.24 : 573.68 = 384.16 : x
  2. Step 2: Convert to fraction form
    385.24/573.68 = 384.16/x
  3. Step 3: Cross multiply
    385.24x = 573.68 × 384.16
  4. Step 4: Simplify right side
    385.24x = 220,384.91
  5. Step 5: Solve for x
    x = 220,384.91/385.24
  6. Step 6: Final answer
    x = 572.07

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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.