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Finding the Fourth Proportional to 245.71, 368.60 and 211.35

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Solution

The fourth proportional to 245.71, 368.60 and 211.35 is: 317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.71 : 368.60 = 211.35 : x
  2. Step 2: Convert to fraction form
    245.71/368.60 = 211.35/x
  3. Step 3: Cross multiply
    245.71x = 368.60 × 211.35
  4. Step 4: Simplify right side
    245.71x = 77,903.61
  5. Step 5: Solve for x
    x = 77,903.61/245.71
  6. Step 6: Final answer
    x = 317.06

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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.