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Finding the Fourth Proportional to 156.79, 233.57 and 152.01

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Solution

The fourth proportional to 156.79, 233.57 and 152.01 is: 226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.79 : 233.57 = 152.01 : x
  2. Step 2: Convert to fraction form
    156.79/233.57 = 152.01/x
  3. Step 3: Cross multiply
    156.79x = 233.57 × 152.01
  4. Step 4: Simplify right side
    156.79x = 35,504.22
  5. Step 5: Solve for x
    x = 35,504.22/156.79
  6. Step 6: Final answer
    x = 226.45

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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.