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Finding the Fourth Proportional to 290.70, 437.76 and 242.46

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Solution

The fourth proportional to 290.70, 437.76 and 242.46 is: 365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.70 : 437.76 = 242.46 : x
  2. Step 2: Convert to fraction form
    290.70/437.76 = 242.46/x
  3. Step 3: Cross multiply
    290.70x = 437.76 × 242.46
  4. Step 4: Simplify right side
    290.70x = 106,139.29
  5. Step 5: Solve for x
    x = 106,139.29/290.70
  6. Step 6: Final answer
    x = 365.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.