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Finding the Fourth Proportional to 313.78, 429.88 and 302.10

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Solution

The fourth proportional to 313.78, 429.88 and 302.10 is: 413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.78 : 429.88 = 302.10 : x
  2. Step 2: Convert to fraction form
    313.78/429.88 = 302.10/x
  3. Step 3: Cross multiply
    313.78x = 429.88 × 302.10
  4. Step 4: Simplify right side
    313.78x = 129,866.75
  5. Step 5: Solve for x
    x = 129,866.75/313.78
  6. Step 6: Final answer
    x = 413.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.