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Finding the Fourth Proportional to 430.02, 645.08 and 210.49

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Solution

The fourth proportional to 430.02, 645.08 and 210.49 is: 315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.02 : 645.08 = 210.49 : x
  2. Step 2: Convert to fraction form
    430.02/645.08 = 210.49/x
  3. Step 3: Cross multiply
    430.02x = 645.08 × 210.49
  4. Step 4: Simplify right side
    430.02x = 135,778.61
  5. Step 5: Solve for x
    x = 135,778.61/430.02
  6. Step 6: Final answer
    x = 315.75

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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.