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Finding the Fourth Proportional to 346.64, 520.61 and 209.93

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Solution

The fourth proportional to 346.64, 520.61 and 209.93 is: 315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.64 : 520.61 = 209.93 : x
  2. Step 2: Convert to fraction form
    346.64/520.61 = 209.93/x
  3. Step 3: Cross multiply
    346.64x = 520.61 × 209.93
  4. Step 4: Simplify right side
    346.64x = 109,288.00
  5. Step 5: Solve for x
    x = 109,288.00/346.64
  6. Step 6: Final answer
    x = 315.28

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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.