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Finding the Fourth Proportional to 314.82, 469.94 and 298.98

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Solution

The fourth proportional to 314.82, 469.94 and 298.98 is: 446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.82 : 469.94 = 298.98 : x
  2. Step 2: Convert to fraction form
    314.82/469.94 = 298.98/x
  3. Step 3: Cross multiply
    314.82x = 469.94 × 298.98
  4. Step 4: Simplify right side
    314.82x = 140,501.17
  5. Step 5: Solve for x
    x = 140,501.17/314.82
  6. Step 6: Final answer
    x = 446.29

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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.