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Finding the Fourth Proportional to 356.93, 492.40 and 209.50

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Solution

The fourth proportional to 356.93, 492.40 and 209.50 is: 289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.93 : 492.40 = 209.50 : x
  2. Step 2: Convert to fraction form
    356.93/492.40 = 209.50/x
  3. Step 3: Cross multiply
    356.93x = 492.40 × 209.50
  4. Step 4: Simplify right side
    356.93x = 103,155.86
  5. Step 5: Solve for x
    x = 103,155.86/356.93
  6. Step 6: Final answer
    x = 289.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.