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Finding the Fourth Proportional to 468.02, 645.89 and 260.98

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Solution

The fourth proportional to 468.02, 645.89 and 260.98 is: 360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.02 : 645.89 = 260.98 : x
  2. Step 2: Convert to fraction form
    468.02/645.89 = 260.98/x
  3. Step 3: Cross multiply
    468.02x = 645.89 × 260.98
  4. Step 4: Simplify right side
    468.02x = 168,564.37
  5. Step 5: Solve for x
    x = 168,564.37/468.02
  6. Step 6: Final answer
    x = 360.16

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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.