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Finding the Fourth Proportional to 315.36, 469.60 and 306.80

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Solution

The fourth proportional to 315.36, 469.60 and 306.80 is: 456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.36 : 469.60 = 306.80 : x
  2. Step 2: Convert to fraction form
    315.36/469.60 = 306.80/x
  3. Step 3: Cross multiply
    315.36x = 469.60 × 306.80
  4. Step 4: Simplify right side
    315.36x = 144,073.28
  5. Step 5: Solve for x
    x = 144,073.28/315.36
  6. Step 6: Final answer
    x = 456.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.