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Finding the Fourth Proportional to 314.30, 470.16 and 295.88

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Solution

The fourth proportional to 314.30, 470.16 and 295.88 is: 442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.30 : 470.16 = 295.88 : x
  2. Step 2: Convert to fraction form
    314.30/470.16 = 295.88/x
  3. Step 3: Cross multiply
    314.30x = 470.16 × 295.88
  4. Step 4: Simplify right side
    314.30x = 139,108.59
  5. Step 5: Solve for x
    x = 139,108.59/314.30
  6. Step 6: Final answer
    x = 442.61

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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.