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Finding the Fourth Proportional to 266.04, 399 and 157.86

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Solution

The fourth proportional to 266.04, 399 and 157.86 is: 236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.04 : 399 = 157.86 : x
  2. Step 2: Convert to fraction form
    266.04/399 = 157.86/x
  3. Step 3: Cross multiply
    266.04x = 399 × 157.86
  4. Step 4: Simplify right side
    266.04x = 62,986.14
  5. Step 5: Solve for x
    x = 62,986.14/266.04
  6. Step 6: Final answer
    x = 236.75

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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.