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Finding the Fourth Proportional to 245.80, 337.85 and 216.52

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Solution

The fourth proportional to 245.80, 337.85 and 216.52 is: 297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.80 : 337.85 = 216.52 : x
  2. Step 2: Convert to fraction form
    245.80/337.85 = 216.52/x
  3. Step 3: Cross multiply
    245.80x = 337.85 × 216.52
  4. Step 4: Simplify right side
    245.80x = 73,151.28
  5. Step 5: Solve for x
    x = 73,151.28/245.80
  6. Step 6: Final answer
    x = 297.60

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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.