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Finding the Fourth Proportional to 155.30, 234.58 and 155.30

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Solution

The fourth proportional to 155.30, 234.58 and 155.30 is: 234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.30 : 234.58 = 155.30 : x
  2. Step 2: Convert to fraction form
    155.30/234.58 = 155.30/x
  3. Step 3: Cross multiply
    155.30x = 234.58 × 155.30
  4. Step 4: Simplify right side
    155.30x = 36,430.27
  5. Step 5: Solve for x
    x = 36,430.27/155.30
  6. Step 6: Final answer
    x = 234.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.