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Finding the Fourth Proportional to 245, 367.48 and 210.98

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Solution

The fourth proportional to 245, 367.48 and 210.98 is: 316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    245 : 367.48 = 210.98 : x
  2. Step 2: Convert to fraction form
    245/367.48 = 210.98/x
  3. Step 3: Cross multiply
    245x = 367.48 × 210.98
  4. Step 4: Simplify right side
    245x = 77,530.93
  5. Step 5: Solve for x
    x = 77,530.93/245
  6. Step 6: Final answer
    x = 316.45

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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.