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Finding the Fourth Proportional to 156.13, 214.85 and 151.58

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Solution

The fourth proportional to 156.13, 214.85 and 151.58 is: 208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.13 : 214.85 = 151.58 : x
  2. Step 2: Convert to fraction form
    156.13/214.85 = 151.58/x
  3. Step 3: Cross multiply
    156.13x = 214.85 × 151.58
  4. Step 4: Simplify right side
    156.13x = 32,567.88
  5. Step 5: Solve for x
    x = 32,567.88/156.13
  6. Step 6: Final answer
    x = 208.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.