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Finding the Fourth Proportional to 320.61, 482.91 and 298.08

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Solution

The fourth proportional to 320.61, 482.91 and 298.08 is: 448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.61 : 482.91 = 298.08 : x
  2. Step 2: Convert to fraction form
    320.61/482.91 = 298.08/x
  3. Step 3: Cross multiply
    320.61x = 482.91 × 298.08
  4. Step 4: Simplify right side
    320.61x = 143,945.81
  5. Step 5: Solve for x
    x = 143,945.81/320.61
  6. Step 6: Final answer
    x = 448.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.