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Finding the Fourth Proportional to 156.12, 214.04 and 153.36

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Solution

The fourth proportional to 156.12, 214.04 and 153.36 is: 210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.12 : 214.04 = 153.36 : x
  2. Step 2: Convert to fraction form
    156.12/214.04 = 153.36/x
  3. Step 3: Cross multiply
    156.12x = 214.04 × 153.36
  4. Step 4: Simplify right side
    156.12x = 32,825.17
  5. Step 5: Solve for x
    x = 32,825.17/156.12
  6. Step 6: Final answer
    x = 210.26

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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.