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Finding the Fourth Proportional to 386.18, 576.65 and 304.10

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Solution

The fourth proportional to 386.18, 576.65 and 304.10 is: 454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.18 : 576.65 = 304.10 : x
  2. Step 2: Convert to fraction form
    386.18/576.65 = 304.10/x
  3. Step 3: Cross multiply
    386.18x = 576.65 × 304.10
  4. Step 4: Simplify right side
    386.18x = 175,357.74
  5. Step 5: Solve for x
    x = 175,357.74/386.18
  6. Step 6: Final answer
    x = 454.08

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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.