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Finding the Fourth Proportional to 388.67, 583.08 and 114.76

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Solution

The fourth proportional to 388.67, 583.08 and 114.76 is: 172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.67 : 583.08 = 114.76 : x
  2. Step 2: Convert to fraction form
    388.67/583.08 = 114.76/x
  3. Step 3: Cross multiply
    388.67x = 583.08 × 114.76
  4. Step 4: Simplify right side
    388.67x = 66,914.26
  5. Step 5: Solve for x
    x = 66,914.26/388.67
  6. Step 6: Final answer
    x = 172.16

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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.