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Finding the Fourth Proportional to 557.02, 835.61 and 210.34

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Solution

The fourth proportional to 557.02, 835.61 and 210.34 is: 315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.02 : 835.61 = 210.34 : x
  2. Step 2: Convert to fraction form
    557.02/835.61 = 210.34/x
  3. Step 3: Cross multiply
    557.02x = 835.61 × 210.34
  4. Step 4: Simplify right side
    557.02x = 175,762.21
  5. Step 5: Solve for x
    x = 175,762.21/557.02
  6. Step 6: Final answer
    x = 315.54

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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.