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Finding the Fourth Proportional to 501.06, 751.51 and 154.38

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Solution

The fourth proportional to 501.06, 751.51 and 154.38 is: 231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.06 : 751.51 = 154.38 : x
  2. Step 2: Convert to fraction form
    501.06/751.51 = 154.38/x
  3. Step 3: Cross multiply
    501.06x = 751.51 × 154.38
  4. Step 4: Simplify right side
    501.06x = 116,018.11
  5. Step 5: Solve for x
    x = 116,018.11/501.06
  6. Step 6: Final answer
    x = 231.55

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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.