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Finding the Fourth Proportional to 302.88, 451.50 and 297.60

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Solution

The fourth proportional to 302.88, 451.50 and 297.60 is: 443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.88 : 451.50 = 297.60 : x
  2. Step 2: Convert to fraction form
    302.88/451.50 = 297.60/x
  3. Step 3: Cross multiply
    302.88x = 451.50 × 297.60
  4. Step 4: Simplify right side
    302.88x = 134,366.40
  5. Step 5: Solve for x
    x = 134,366.40/302.88
  6. Step 6: Final answer
    x = 443.63

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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.