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Finding the Fourth Proportional to 316.42, 437.48 and 242.98

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Solution

The fourth proportional to 316.42, 437.48 and 242.98 is: 335.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.42 : 437.48 = 242.98 : x
  2. Step 2: Convert to fraction form
    316.42/437.48 = 242.98/x
  3. Step 3: Cross multiply
    316.42x = 437.48 × 242.98
  4. Step 4: Simplify right side
    316.42x = 106,297.68
  5. Step 5: Solve for x
    x = 106,297.68/316.42
  6. Step 6: Final answer
    x = 335.94

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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.