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Finding the Fourth Proportional to 285.30, 393.57 and 242.10

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Solution

The fourth proportional to 285.30, 393.57 and 242.10 is: 333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.30 : 393.57 = 242.10 : x
  2. Step 2: Convert to fraction form
    285.30/393.57 = 242.10/x
  3. Step 3: Cross multiply
    285.30x = 393.57 × 242.10
  4. Step 4: Simplify right side
    285.30x = 95,283.30
  5. Step 5: Solve for x
    x = 95,283.30/285.30
  6. Step 6: Final answer
    x = 333.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.