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Finding the Fourth Proportional to 245.02, 337.86 and 157.66

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Solution

The fourth proportional to 245.02, 337.86 and 157.66 is: 217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.02 : 337.86 = 157.66 : x
  2. Step 2: Convert to fraction form
    245.02/337.86 = 157.66/x
  3. Step 3: Cross multiply
    245.02x = 337.86 × 157.66
  4. Step 4: Simplify right side
    245.02x = 53,267.01
  5. Step 5: Solve for x
    x = 53,267.01/245.02
  6. Step 6: Final answer
    x = 217.40

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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.