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Finding the Fourth Proportional to 236.01, 353.70 and 99.02

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Solution

The fourth proportional to 236.01, 353.70 and 99.02 is: 148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.01 : 353.70 = 99.02 : x
  2. Step 2: Convert to fraction form
    236.01/353.70 = 99.02/x
  3. Step 3: Cross multiply
    236.01x = 353.70 × 99.02
  4. Step 4: Simplify right side
    236.01x = 35,024.26
  5. Step 5: Solve for x
    x = 35,024.26/236.01
  6. Step 6: Final answer
    x = 148.40

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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.