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Finding the Fourth Proportional to 277.02, 417.63 and 262.14

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Solution

The fourth proportional to 277.02, 417.63 and 262.14 is: 395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.02 : 417.63 = 262.14 : x
  2. Step 2: Convert to fraction form
    277.02/417.63 = 262.14/x
  3. Step 3: Cross multiply
    277.02x = 417.63 × 262.14
  4. Step 4: Simplify right side
    277.02x = 109,476.21
  5. Step 5: Solve for x
    x = 109,476.21/277.02
  6. Step 6: Final answer
    x = 395.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.