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Finding the Fourth Proportional to 307.25, 457.94 and 289.95

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Solution

The fourth proportional to 307.25, 457.94 and 289.95 is: 432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.25 : 457.94 = 289.95 : x
  2. Step 2: Convert to fraction form
    307.25/457.94 = 289.95/x
  3. Step 3: Cross multiply
    307.25x = 457.94 × 289.95
  4. Step 4: Simplify right side
    307.25x = 132,779.70
  5. Step 5: Solve for x
    x = 132,779.70/307.25
  6. Step 6: Final answer
    x = 432.16

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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.