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Finding the Fourth Proportional to 389.12, 581.46 and 296.06

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Solution

The fourth proportional to 389.12, 581.46 and 296.06 is: 442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.12 : 581.46 = 296.06 : x
  2. Step 2: Convert to fraction form
    389.12/581.46 = 296.06/x
  3. Step 3: Cross multiply
    389.12x = 581.46 × 296.06
  4. Step 4: Simplify right side
    389.12x = 172,145.57
  5. Step 5: Solve for x
    x = 172,145.57/389.12
  6. Step 6: Final answer
    x = 442.40

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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.