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Finding the Fourth Proportional to 202.71, 302.79 and 162.01

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Solution

The fourth proportional to 202.71, 302.79 and 162.01 is: 242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.71 : 302.79 = 162.01 : x
  2. Step 2: Convert to fraction form
    202.71/302.79 = 162.01/x
  3. Step 3: Cross multiply
    202.71x = 302.79 × 162.01
  4. Step 4: Simplify right side
    202.71x = 49,055.01
  5. Step 5: Solve for x
    x = 49,055.01/202.71
  6. Step 6: Final answer
    x = 242.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.