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Finding the Fourth Proportional to 320.32, 480.80 and 302.72

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Solution

The fourth proportional to 320.32, 480.80 and 302.72 is: 454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.32 : 480.80 = 302.72 : x
  2. Step 2: Convert to fraction form
    320.32/480.80 = 302.72/x
  3. Step 3: Cross multiply
    320.32x = 480.80 × 302.72
  4. Step 4: Simplify right side
    320.32x = 145,547.78
  5. Step 5: Solve for x
    x = 145,547.78/320.32
  6. Step 6: Final answer
    x = 454.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.