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Finding the Fourth Proportional to 307.32, 420.78 and 306.24

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Solution

The fourth proportional to 307.32, 420.78 and 306.24 is: 419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.32 : 420.78 = 306.24 : x
  2. Step 2: Convert to fraction form
    307.32/420.78 = 306.24/x
  3. Step 3: Cross multiply
    307.32x = 420.78 × 306.24
  4. Step 4: Simplify right side
    307.32x = 128,859.67
  5. Step 5: Solve for x
    x = 128,859.67/307.32
  6. Step 6: Final answer
    x = 419.30

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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.