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Finding the Fourth Proportional to 153.04, 210.72 and 135.30

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Solution

The fourth proportional to 153.04, 210.72 and 135.30 is: 186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.04 : 210.72 = 135.30 : x
  2. Step 2: Convert to fraction form
    153.04/210.72 = 135.30/x
  3. Step 3: Cross multiply
    153.04x = 210.72 × 135.30
  4. Step 4: Simplify right side
    153.04x = 28,510.42
  5. Step 5: Solve for x
    x = 28,510.42/153.04
  6. Step 6: Final answer
    x = 186.29

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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.