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Finding the Fourth Proportional to 320.50, 477.55 and 302.88

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Solution

The fourth proportional to 320.50, 477.55 and 302.88 is: 451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.50 : 477.55 = 302.88 : x
  2. Step 2: Convert to fraction form
    320.50/477.55 = 302.88/x
  3. Step 3: Cross multiply
    320.50x = 477.55 × 302.88
  4. Step 4: Simplify right side
    320.50x = 144,640.34
  5. Step 5: Solve for x
    x = 144,640.34/320.50
  6. Step 6: Final answer
    x = 451.30

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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.