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Finding the Fourth Proportional to 302.23, 415.47 and 260.06

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Solution

The fourth proportional to 302.23, 415.47 and 260.06 is: 357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.23 : 415.47 = 260.06 : x
  2. Step 2: Convert to fraction form
    302.23/415.47 = 260.06/x
  3. Step 3: Cross multiply
    302.23x = 415.47 × 260.06
  4. Step 4: Simplify right side
    302.23x = 108,045.83
  5. Step 5: Solve for x
    x = 108,045.83/302.23
  6. Step 6: Final answer
    x = 357.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.