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Finding the Fourth Proportional to 114.04, 157.36 and 90.78

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Solution

The fourth proportional to 114.04, 157.36 and 90.78 is: 125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.04 : 157.36 = 90.78 : x
  2. Step 2: Convert to fraction form
    114.04/157.36 = 90.78/x
  3. Step 3: Cross multiply
    114.04x = 157.36 × 90.78
  4. Step 4: Simplify right side
    114.04x = 14,284.69
  5. Step 5: Solve for x
    x = 14,284.69/114.04
  6. Step 6: Final answer
    x = 125.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.