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Finding the Fourth Proportional to 245.99, 368.71 and 209.32

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Solution

The fourth proportional to 245.99, 368.71 and 209.32 is: 313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.99 : 368.71 = 209.32 : x
  2. Step 2: Convert to fraction form
    245.99/368.71 = 209.32/x
  3. Step 3: Cross multiply
    245.99x = 368.71 × 209.32
  4. Step 4: Simplify right side
    245.99x = 77,176.93
  5. Step 5: Solve for x
    x = 77,176.93/245.99
  6. Step 6: Final answer
    x = 313.74

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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.