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Finding the Fourth Proportional to 315.81, 470.75 and 295.29

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Solution

The fourth proportional to 315.81, 470.75 and 295.29 is: 440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.81 : 470.75 = 295.29 : x
  2. Step 2: Convert to fraction form
    315.81/470.75 = 295.29/x
  3. Step 3: Cross multiply
    315.81x = 470.75 × 295.29
  4. Step 4: Simplify right side
    315.81x = 139,006.29
  5. Step 5: Solve for x
    x = 139,006.29/315.81
  6. Step 6: Final answer
    x = 440.16

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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.