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Finding the Fourth Proportional to 316.96, 472.27 and 302.98

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Solution

The fourth proportional to 316.96, 472.27 and 302.98 is: 451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.96 : 472.27 = 302.98 : x
  2. Step 2: Convert to fraction form
    316.96/472.27 = 302.98/x
  3. Step 3: Cross multiply
    316.96x = 472.27 × 302.98
  4. Step 4: Simplify right side
    316.96x = 143,088.36
  5. Step 5: Solve for x
    x = 143,088.36/316.96
  6. Step 6: Final answer
    x = 451.44

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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.