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Finding the Fourth Proportional to 293.00, 438.57 and 210.56

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Solution

The fourth proportional to 293.00, 438.57 and 210.56 is: 315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.00 : 438.57 = 210.56 : x
  2. Step 2: Convert to fraction form
    293.00/438.57 = 210.56/x
  3. Step 3: Cross multiply
    293.00x = 438.57 × 210.56
  4. Step 4: Simplify right side
    293.00x = 92,343.11
  5. Step 5: Solve for x
    x = 92,343.11/293.00
  6. Step 6: Final answer
    x = 315.17

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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.