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Finding the Fourth Proportional to 145.83, 218.67 and 54.47

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Solution

The fourth proportional to 145.83, 218.67 and 54.47 is: 81.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.83 : 218.67 = 54.47 : x
  2. Step 2: Convert to fraction form
    145.83/218.67 = 54.47/x
  3. Step 3: Cross multiply
    145.83x = 218.67 × 54.47
  4. Step 4: Simplify right side
    145.83x = 11,911.30
  5. Step 5: Solve for x
    x = 11,911.30/145.83
  6. Step 6: Final answer
    x = 81.68

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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.