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Finding the Fourth Proportional to 315.96, 471.59 and 290.31

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Solution

The fourth proportional to 315.96, 471.59 and 290.31 is: 433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.96 : 471.59 = 290.31 : x
  2. Step 2: Convert to fraction form
    315.96/471.59 = 290.31/x
  3. Step 3: Cross multiply
    315.96x = 471.59 × 290.31
  4. Step 4: Simplify right side
    315.96x = 136,905.84
  5. Step 5: Solve for x
    x = 136,905.84/315.96
  6. Step 6: Final answer
    x = 433.30

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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.