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Finding the Fourth Proportional to 341.92, 510.76 and 290.32

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Solution

The fourth proportional to 341.92, 510.76 and 290.32 is: 433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.92 : 510.76 = 290.32 : x
  2. Step 2: Convert to fraction form
    341.92/510.76 = 290.32/x
  3. Step 3: Cross multiply
    341.92x = 510.76 × 290.32
  4. Step 4: Simplify right side
    341.92x = 148,283.84
  5. Step 5: Solve for x
    x = 148,283.84/341.92
  6. Step 6: Final answer
    x = 433.68

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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.