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Finding the Fourth Proportional to 173.64, 240.08 and 152.04

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Solution

The fourth proportional to 173.64, 240.08 and 152.04 is: 210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.64 : 240.08 = 152.04 : x
  2. Step 2: Convert to fraction form
    173.64/240.08 = 152.04/x
  3. Step 3: Cross multiply
    173.64x = 240.08 × 152.04
  4. Step 4: Simplify right side
    173.64x = 36,501.76
  5. Step 5: Solve for x
    x = 36,501.76/173.64
  6. Step 6: Final answer
    x = 210.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.