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Finding the Fourth Proportional to 304.95, 457.20 and 99.39

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Solution

The fourth proportional to 304.95, 457.20 and 99.39 is: 149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.95 : 457.20 = 99.39 : x
  2. Step 2: Convert to fraction form
    304.95/457.20 = 99.39/x
  3. Step 3: Cross multiply
    304.95x = 457.20 × 99.39
  4. Step 4: Simplify right side
    304.95x = 45,441.11
  5. Step 5: Solve for x
    x = 45,441.11/304.95
  6. Step 6: Final answer
    x = 149.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.