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Finding the Fourth Proportional to 156.39, 235.77 and 148.02

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Solution

The fourth proportional to 156.39, 235.77 and 148.02 is: 223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.39 : 235.77 = 148.02 : x
  2. Step 2: Convert to fraction form
    156.39/235.77 = 148.02/x
  3. Step 3: Cross multiply
    156.39x = 235.77 × 148.02
  4. Step 4: Simplify right side
    156.39x = 34,897.24
  5. Step 5: Solve for x
    x = 34,897.24/156.39
  6. Step 6: Final answer
    x = 223.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.