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Finding the Fourth Proportional to 156.53, 233.66 and 145.26

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Solution

The fourth proportional to 156.53, 233.66 and 145.26 is: 216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.53 : 233.66 = 145.26 : x
  2. Step 2: Convert to fraction form
    156.53/233.66 = 145.26/x
  3. Step 3: Cross multiply
    156.53x = 233.66 × 145.26
  4. Step 4: Simplify right side
    156.53x = 33,941.81
  5. Step 5: Solve for x
    x = 33,941.81/156.53
  6. Step 6: Final answer
    x = 216.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.