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Finding the Fourth Proportional to 164.02, 245.88 and 55.80

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Solution

The fourth proportional to 164.02, 245.88 and 55.80 is: 83.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.02 : 245.88 = 55.80 : x
  2. Step 2: Convert to fraction form
    164.02/245.88 = 55.80/x
  3. Step 3: Cross multiply
    164.02x = 245.88 × 55.80
  4. Step 4: Simplify right side
    164.02x = 13,720.10
  5. Step 5: Solve for x
    x = 13,720.10/164.02
  6. Step 6: Final answer
    x = 83.65

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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.