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Finding the Fourth Proportional to 307.52, 459.36 and 258.96

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Solution

The fourth proportional to 307.52, 459.36 and 258.96 is: 386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.52 : 459.36 = 258.96 : x
  2. Step 2: Convert to fraction form
    307.52/459.36 = 258.96/x
  3. Step 3: Cross multiply
    307.52x = 459.36 × 258.96
  4. Step 4: Simplify right side
    307.52x = 118,955.87
  5. Step 5: Solve for x
    x = 118,955.87/307.52
  6. Step 6: Final answer
    x = 386.82

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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.