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Finding the Fourth Proportional to 157.49, 236.23 and 64.94

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Solution

The fourth proportional to 157.49, 236.23 and 64.94 is: 97.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.49 : 236.23 = 64.94 : x
  2. Step 2: Convert to fraction form
    157.49/236.23 = 64.94/x
  3. Step 3: Cross multiply
    157.49x = 236.23 × 64.94
  4. Step 4: Simplify right side
    157.49x = 15,339.43
  5. Step 5: Solve for x
    x = 15,339.43/157.49
  6. Step 6: Final answer
    x = 97.40

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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.