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Finding the Fourth Proportional to 164.95, 245.78 and 154.47

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Solution

The fourth proportional to 164.95, 245.78 and 154.47 is: 230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.95 : 245.78 = 154.47 : x
  2. Step 2: Convert to fraction form
    164.95/245.78 = 154.47/x
  3. Step 3: Cross multiply
    164.95x = 245.78 × 154.47
  4. Step 4: Simplify right side
    164.95x = 37,967.23
  5. Step 5: Solve for x
    x = 37,967.23/164.95
  6. Step 6: Final answer
    x = 230.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.