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Finding the Fourth Proportional to 292.46, 436.62 and 260.06

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Solution

The fourth proportional to 292.46, 436.62 and 260.06 is: 388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.46 : 436.62 = 260.06 : x
  2. Step 2: Convert to fraction form
    292.46/436.62 = 260.06/x
  3. Step 3: Cross multiply
    292.46x = 436.62 × 260.06
  4. Step 4: Simplify right side
    292.46x = 113,547.40
  5. Step 5: Solve for x
    x = 113,547.40/292.46
  6. Step 6: Final answer
    x = 388.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.