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Finding the Fourth Proportional to 312.42, 430.10 and 297.02

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Solution

The fourth proportional to 312.42, 430.10 and 297.02 is: 408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.42 : 430.10 = 297.02 : x
  2. Step 2: Convert to fraction form
    312.42/430.10 = 297.02/x
  3. Step 3: Cross multiply
    312.42x = 430.10 × 297.02
  4. Step 4: Simplify right side
    312.42x = 127,748.30
  5. Step 5: Solve for x
    x = 127,748.30/312.42
  6. Step 6: Final answer
    x = 408.90

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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.