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Finding the Fourth Proportional to 314.98, 472.59 and 294.34

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Solution

The fourth proportional to 314.98, 472.59 and 294.34 is: 441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.98 : 472.59 = 294.34 : x
  2. Step 2: Convert to fraction form
    314.98/472.59 = 294.34/x
  3. Step 3: Cross multiply
    314.98x = 472.59 × 294.34
  4. Step 4: Simplify right side
    314.98x = 139,102.14
  5. Step 5: Solve for x
    x = 139,102.14/314.98
  6. Step 6: Final answer
    x = 441.62

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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.