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Finding the Fourth Proportional to 277.07, 417.53 and 237.02

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Solution

The fourth proportional to 277.07, 417.53 and 237.02 is: 357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.07 : 417.53 = 237.02 : x
  2. Step 2: Convert to fraction form
    277.07/417.53 = 237.02/x
  3. Step 3: Cross multiply
    277.07x = 417.53 × 237.02
  4. Step 4: Simplify right side
    277.07x = 98,961.47
  5. Step 5: Solve for x
    x = 98,961.47/277.07
  6. Step 6: Final answer
    x = 357.18

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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.