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Finding the Fourth Proportional to 1,225.52, 1,838.24 and 301.08

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Solution

The fourth proportional to 1,225.52, 1,838.24 and 301.08 is: 451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.52 : 1,838.24 = 301.08 : x
  2. Step 2: Convert to fraction form
    1,225.52/1,838.24 = 301.08/x
  3. Step 3: Cross multiply
    1,225.52x = 1,838.24 × 301.08
  4. Step 4: Simplify right side
    1,225.52x = 553,457.30
  5. Step 5: Solve for x
    x = 553,457.30/1,225.52
  6. Step 6: Final answer
    x = 451.61

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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.