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Finding the Fourth Proportional to 312.28, 430.66 and 242.12

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Solution

The fourth proportional to 312.28, 430.66 and 242.12 is: 333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.28 : 430.66 = 242.12 : x
  2. Step 2: Convert to fraction form
    312.28/430.66 = 242.12/x
  3. Step 3: Cross multiply
    312.28x = 430.66 × 242.12
  4. Step 4: Simplify right side
    312.28x = 104,271.40
  5. Step 5: Solve for x
    x = 104,271.40/312.28
  6. Step 6: Final answer
    x = 333.90

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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.