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Finding the Fourth Proportional to 314.08, 429.80 and 307.36

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Solution

The fourth proportional to 314.08, 429.80 and 307.36 is: 420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.08 : 429.80 = 307.36 : x
  2. Step 2: Convert to fraction form
    314.08/429.80 = 307.36/x
  3. Step 3: Cross multiply
    314.08x = 429.80 × 307.36
  4. Step 4: Simplify right side
    314.08x = 132,103.33
  5. Step 5: Solve for x
    x = 132,103.33/314.08
  6. Step 6: Final answer
    x = 420.60

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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.