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Finding the Fourth Proportional to 306.87, 459.70 and 258.45

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Solution

The fourth proportional to 306.87, 459.70 and 258.45 is: 387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.87 : 459.70 = 258.45 : x
  2. Step 2: Convert to fraction form
    306.87/459.70 = 258.45/x
  3. Step 3: Cross multiply
    306.87x = 459.70 × 258.45
  4. Step 4: Simplify right side
    306.87x = 118,809.47
  5. Step 5: Solve for x
    x = 118,809.47/306.87
  6. Step 6: Final answer
    x = 387.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.