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Finding the Fourth Proportional to 342.93, 473.40 and 260.07

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Solution

The fourth proportional to 342.93, 473.40 and 260.07 is: 359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.93 : 473.40 = 260.07 : x
  2. Step 2: Convert to fraction form
    342.93/473.40 = 260.07/x
  3. Step 3: Cross multiply
    342.93x = 473.40 × 260.07
  4. Step 4: Simplify right side
    342.93x = 123,117.14
  5. Step 5: Solve for x
    x = 123,117.14/342.93
  6. Step 6: Final answer
    x = 359.02

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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.