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Finding the Fourth Proportional to 305.55, 460.95 and 301.89

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Solution

The fourth proportional to 305.55, 460.95 and 301.89 is: 455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.55 : 460.95 = 301.89 : x
  2. Step 2: Convert to fraction form
    305.55/460.95 = 301.89/x
  3. Step 3: Cross multiply
    305.55x = 460.95 × 301.89
  4. Step 4: Simplify right side
    305.55x = 139,156.20
  5. Step 5: Solve for x
    x = 139,156.20/305.55
  6. Step 6: Final answer
    x = 455.43

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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.