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Finding the Fourth Proportional to 313.61, 471.33 and 290.98

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Solution

The fourth proportional to 313.61, 471.33 and 290.98 is: 437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.61 : 471.33 = 290.98 : x
  2. Step 2: Convert to fraction form
    313.61/471.33 = 290.98/x
  3. Step 3: Cross multiply
    313.61x = 471.33 × 290.98
  4. Step 4: Simplify right side
    313.61x = 137,147.60
  5. Step 5: Solve for x
    x = 137,147.60/313.61
  6. Step 6: Final answer
    x = 437.32

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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.