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Finding the Fourth Proportional to 347.60, 476.51 and 341.40

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Solution

The fourth proportional to 347.60, 476.51 and 341.40 is: 468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.60 : 476.51 = 341.40 : x
  2. Step 2: Convert to fraction form
    347.60/476.51 = 341.40/x
  3. Step 3: Cross multiply
    347.60x = 476.51 × 341.40
  4. Step 4: Simplify right side
    347.60x = 162,680.51
  5. Step 5: Solve for x
    x = 162,680.51/347.60
  6. Step 6: Final answer
    x = 468.01

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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.