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Finding the Fourth Proportional to 145.41, 218.28 and 58.80

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Solution

The fourth proportional to 145.41, 218.28 and 58.80 is: 88.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.41 : 218.28 = 58.80 : x
  2. Step 2: Convert to fraction form
    145.41/218.28 = 58.80/x
  3. Step 3: Cross multiply
    145.41x = 218.28 × 58.80
  4. Step 4: Simplify right side
    145.41x = 12,835.41
  5. Step 5: Solve for x
    x = 12,835.41/145.41
  6. Step 6: Final answer
    x = 88.27

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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.