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Finding the Fourth Proportional to 315.49, 476.08 and 304.05

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Solution

The fourth proportional to 315.49, 476.08 and 304.05 is: 458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.49 : 476.08 = 304.05 : x
  2. Step 2: Convert to fraction form
    315.49/476.08 = 304.05/x
  3. Step 3: Cross multiply
    315.49x = 476.08 × 304.05
  4. Step 4: Simplify right side
    315.49x = 144,751.33
  5. Step 5: Solve for x
    x = 144,751.33/315.49
  6. Step 6: Final answer
    x = 458.82

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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.