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Finding the Fourth Proportional to 421.02, 631.08 and 201.51

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Solution

The fourth proportional to 421.02, 631.08 and 201.51 is: 302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.02 : 631.08 = 201.51 : x
  2. Step 2: Convert to fraction form
    421.02/631.08 = 201.51/x
  3. Step 3: Cross multiply
    421.02x = 631.08 × 201.51
  4. Step 4: Simplify right side
    421.02x = 127,168.93
  5. Step 5: Solve for x
    x = 127,168.93/421.02
  6. Step 6: Final answer
    x = 302.05

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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.