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Finding the Fourth Proportional to 306.84, 458.10 and 263.52

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Solution

The fourth proportional to 306.84, 458.10 and 263.52 is: 393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.84 : 458.10 = 263.52 : x
  2. Step 2: Convert to fraction form
    306.84/458.10 = 263.52/x
  3. Step 3: Cross multiply
    306.84x = 458.10 × 263.52
  4. Step 4: Simplify right side
    306.84x = 120,718.51
  5. Step 5: Solve for x
    x = 120,718.51/306.84
  6. Step 6: Final answer
    x = 393.42

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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.