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Finding the Fourth Proportional to 564.51, 846.81 and 153.66

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Solution

The fourth proportional to 564.51, 846.81 and 153.66 is: 230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.51 : 846.81 = 153.66 : x
  2. Step 2: Convert to fraction form
    564.51/846.81 = 153.66/x
  3. Step 3: Cross multiply
    564.51x = 846.81 × 153.66
  4. Step 4: Simplify right side
    564.51x = 130,120.82
  5. Step 5: Solve for x
    x = 130,120.82/564.51
  6. Step 6: Final answer
    x = 230.50

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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.