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Finding the Fourth Proportional to 305.01, 454.95 and 287.88

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Solution

The fourth proportional to 305.01, 454.95 and 287.88 is: 429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.01 : 454.95 = 287.88 : x
  2. Step 2: Convert to fraction form
    305.01/454.95 = 287.88/x
  3. Step 3: Cross multiply
    305.01x = 454.95 × 287.88
  4. Step 4: Simplify right side
    305.01x = 130,971.01
  5. Step 5: Solve for x
    x = 130,971.01/305.01
  6. Step 6: Final answer
    x = 429.40

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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.