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Finding the Fourth Proportional to 245.74, 368.49 and 143.06

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Solution

The fourth proportional to 245.74, 368.49 and 143.06 is: 214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.74 : 368.49 = 143.06 : x
  2. Step 2: Convert to fraction form
    245.74/368.49 = 143.06/x
  3. Step 3: Cross multiply
    245.74x = 368.49 × 143.06
  4. Step 4: Simplify right side
    245.74x = 52,717.00
  5. Step 5: Solve for x
    x = 52,717.00/245.74
  6. Step 6: Final answer
    x = 214.52

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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.