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Finding the Fourth Proportional to 302.02, 455.90 and 298.78

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Solution

The fourth proportional to 302.02, 455.90 and 298.78 is: 451.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.02 : 455.90 = 298.78 : x
  2. Step 2: Convert to fraction form
    302.02/455.90 = 298.78/x
  3. Step 3: Cross multiply
    302.02x = 455.90 × 298.78
  4. Step 4: Simplify right side
    302.02x = 136,211.17
  5. Step 5: Solve for x
    x = 136,211.17/302.02
  6. Step 6: Final answer
    x = 451.00

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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.