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Finding the Fourth Proportional to 307.84, 458.44 and 306.08

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Solution

The fourth proportional to 307.84, 458.44 and 306.08 is: 455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.84 : 458.44 = 306.08 : x
  2. Step 2: Convert to fraction form
    307.84/458.44 = 306.08/x
  3. Step 3: Cross multiply
    307.84x = 458.44 × 306.08
  4. Step 4: Simplify right side
    307.84x = 140,319.32
  5. Step 5: Solve for x
    x = 140,319.32/307.84
  6. Step 6: Final answer
    x = 455.82

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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.