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Finding the Fourth Proportional to 307.30, 424.74 and 258.88

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Solution

The fourth proportional to 307.30, 424.74 and 258.88 is: 357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.30 : 424.74 = 258.88 : x
  2. Step 2: Convert to fraction form
    307.30/424.74 = 258.88/x
  3. Step 3: Cross multiply
    307.30x = 424.74 × 258.88
  4. Step 4: Simplify right side
    307.30x = 109,956.69
  5. Step 5: Solve for x
    x = 109,956.69/307.30
  6. Step 6: Final answer
    x = 357.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.