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Finding the Fourth Proportional to 233.00, 348.86 and 178.64

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Solution

The fourth proportional to 233.00, 348.86 and 178.64 is: 267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.00 : 348.86 = 178.64 : x
  2. Step 2: Convert to fraction form
    233.00/348.86 = 178.64/x
  3. Step 3: Cross multiply
    233.00x = 348.86 × 178.64
  4. Step 4: Simplify right side
    233.00x = 62,317.71
  5. Step 5: Solve for x
    x = 62,317.71/233.00
  6. Step 6: Final answer
    x = 267.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.