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Finding the Fourth Proportional to 156.68, 214.94 and 152.64

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Solution

The fourth proportional to 156.68, 214.94 and 152.64 is: 209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.68 : 214.94 = 152.64 : x
  2. Step 2: Convert to fraction form
    156.68/214.94 = 152.64/x
  3. Step 3: Cross multiply
    156.68x = 214.94 × 152.64
  4. Step 4: Simplify right side
    156.68x = 32,807.68
  5. Step 5: Solve for x
    x = 32,807.68/156.68
  6. Step 6: Final answer
    x = 209.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.