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Finding the Fourth Proportional to 255.01, 351.63 and 210.01

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Solution

The fourth proportional to 255.01, 351.63 and 210.01 is: 289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.01 : 351.63 = 210.01 : x
  2. Step 2: Convert to fraction form
    255.01/351.63 = 210.01/x
  3. Step 3: Cross multiply
    255.01x = 351.63 × 210.01
  4. Step 4: Simplify right side
    255.01x = 73,845.82
  5. Step 5: Solve for x
    x = 73,845.82/255.01
  6. Step 6: Final answer
    x = 289.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.