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Finding the Fourth Proportional to 357.40, 493.21 and 210.03

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Solution

The fourth proportional to 357.40, 493.21 and 210.03 is: 289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.40 : 493.21 = 210.03 : x
  2. Step 2: Convert to fraction form
    357.40/493.21 = 210.03/x
  3. Step 3: Cross multiply
    357.40x = 493.21 × 210.03
  4. Step 4: Simplify right side
    357.40x = 103,588.90
  5. Step 5: Solve for x
    x = 103,588.90/357.40
  6. Step 6: Final answer
    x = 289.84

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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.