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Finding the Fourth Proportional to 156.86, 235.34 and 70.22

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Solution

The fourth proportional to 156.86, 235.34 and 70.22 is: 105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.86 : 235.34 = 70.22 : x
  2. Step 2: Convert to fraction form
    156.86/235.34 = 70.22/x
  3. Step 3: Cross multiply
    156.86x = 235.34 × 70.22
  4. Step 4: Simplify right side
    156.86x = 16,525.57
  5. Step 5: Solve for x
    x = 16,525.57/156.86
  6. Step 6: Final answer
    x = 105.35

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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.