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Finding the Fourth Proportional to 491.38, 678.08 and 360.94

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Solution

The fourth proportional to 491.38, 678.08 and 360.94 is: 498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.38 : 678.08 = 360.94 : x
  2. Step 2: Convert to fraction form
    491.38/678.08 = 360.94/x
  3. Step 3: Cross multiply
    491.38x = 678.08 × 360.94
  4. Step 4: Simplify right side
    491.38x = 244,746.20
  5. Step 5: Solve for x
    x = 244,746.20/491.38
  6. Step 6: Final answer
    x = 498.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.