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Finding the Fourth Proportional to 357.35, 493.28 and 210.03

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Solution

The fourth proportional to 357.35, 493.28 and 210.03 is: 289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.35 : 493.28 = 210.03 : x
  2. Step 2: Convert to fraction form
    357.35/493.28 = 210.03/x
  3. Step 3: Cross multiply
    357.35x = 493.28 × 210.03
  4. Step 4: Simplify right side
    357.35x = 103,603.60
  5. Step 5: Solve for x
    x = 103,603.60/357.35
  6. Step 6: Final answer
    x = 289.92

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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.