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Finding the Fourth Proportional to 418.02, 577.16 and 260.72

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Solution

The fourth proportional to 418.02, 577.16 and 260.72 is: 359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.02 : 577.16 = 260.72 : x
  2. Step 2: Convert to fraction form
    418.02/577.16 = 260.72/x
  3. Step 3: Cross multiply
    418.02x = 577.16 × 260.72
  4. Step 4: Simplify right side
    418.02x = 150,477.16
  5. Step 5: Solve for x
    x = 150,477.16/418.02
  6. Step 6: Final answer
    x = 359.98

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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.