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Finding the Fourth Proportional to 653.98, 981.27 and 243.46

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Solution

The fourth proportional to 653.98, 981.27 and 243.46 is: 365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.98 : 981.27 = 243.46 : x
  2. Step 2: Convert to fraction form
    653.98/981.27 = 243.46/x
  3. Step 3: Cross multiply
    653.98x = 981.27 × 243.46
  4. Step 4: Simplify right side
    653.98x = 238,899.99
  5. Step 5: Solve for x
    x = 238,899.99/653.98
  6. Step 6: Final answer
    x = 365.30

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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.