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Finding the Fourth Proportional to 153.02, 211.59 and 116.16

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Solution

The fourth proportional to 153.02, 211.59 and 116.16 is: 160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.02 : 211.59 = 116.16 : x
  2. Step 2: Convert to fraction form
    153.02/211.59 = 116.16/x
  3. Step 3: Cross multiply
    153.02x = 211.59 × 116.16
  4. Step 4: Simplify right side
    153.02x = 24,578.29
  5. Step 5: Solve for x
    x = 24,578.29/153.02
  6. Step 6: Final answer
    x = 160.62

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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.