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Finding the Fourth Proportional to 389.38, 581.52 and 312.46

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Solution

The fourth proportional to 389.38, 581.52 and 312.46 is: 466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.38 : 581.52 = 312.46 : x
  2. Step 2: Convert to fraction form
    389.38/581.52 = 312.46/x
  3. Step 3: Cross multiply
    389.38x = 581.52 × 312.46
  4. Step 4: Simplify right side
    389.38x = 181,701.74
  5. Step 5: Solve for x
    x = 181,701.74/389.38
  6. Step 6: Final answer
    x = 466.64

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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.