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Finding the Fourth Proportional to 306.02, 420.16 and 259.20

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Solution

The fourth proportional to 306.02, 420.16 and 259.20 is: 355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.02 : 420.16 = 259.20 : x
  2. Step 2: Convert to fraction form
    306.02/420.16 = 259.20/x
  3. Step 3: Cross multiply
    306.02x = 420.16 × 259.20
  4. Step 4: Simplify right side
    306.02x = 108,905.47
  5. Step 5: Solve for x
    x = 108,905.47/306.02
  6. Step 6: Final answer
    x = 355.88

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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.