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Finding the Fourth Proportional to 156.16, 216.64 and 150.40

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Solution

The fourth proportional to 156.16, 216.64 and 150.40 is: 208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.16 : 216.64 = 150.40 : x
  2. Step 2: Convert to fraction form
    156.16/216.64 = 150.40/x
  3. Step 3: Cross multiply
    156.16x = 216.64 × 150.40
  4. Step 4: Simplify right side
    156.16x = 32,582.66
  5. Step 5: Solve for x
    x = 32,582.66/156.16
  6. Step 6: Final answer
    x = 208.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.