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Finding the Fourth Proportional to 313.20, 469.53 and 159.06

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Solution

The fourth proportional to 313.20, 469.53 and 159.06 is: 238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.20 : 469.53 = 159.06 : x
  2. Step 2: Convert to fraction form
    313.20/469.53 = 159.06/x
  3. Step 3: Cross multiply
    313.20x = 469.53 × 159.06
  4. Step 4: Simplify right side
    313.20x = 74,681.09
  5. Step 5: Solve for x
    x = 74,681.09/313.20
  6. Step 6: Final answer
    x = 238.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.