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Finding the Fourth Proportional to 610.70, 915.53 and 199.71

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Solution

The fourth proportional to 610.70, 915.53 and 199.71 is: 299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.70 : 915.53 = 199.71 : x
  2. Step 2: Convert to fraction form
    610.70/915.53 = 199.71/x
  3. Step 3: Cross multiply
    610.70x = 915.53 × 199.71
  4. Step 4: Simplify right side
    610.70x = 182,839.50
  5. Step 5: Solve for x
    x = 182,839.50/610.70
  6. Step 6: Final answer
    x = 299.40

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1.5x scale

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.