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Finding the Fourth Proportional to 296.04, 408.15 and 242.67

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Solution

The fourth proportional to 296.04, 408.15 and 242.67 is: 334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.04 : 408.15 = 242.67 : x
  2. Step 2: Convert to fraction form
    296.04/408.15 = 242.67/x
  3. Step 3: Cross multiply
    296.04x = 408.15 × 242.67
  4. Step 4: Simplify right side
    296.04x = 99,046.37
  5. Step 5: Solve for x
    x = 99,046.37/296.04
  6. Step 6: Final answer
    x = 334.57

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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.