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Finding the Fourth Proportional to 407, 607.66 and 346.16

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Solution

The fourth proportional to 407, 607.66 and 346.16 is: 516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407 : 607.66 = 346.16 : x
  2. Step 2: Convert to fraction form
    407/607.66 = 346.16/x
  3. Step 3: Cross multiply
    407x = 607.66 × 346.16
  4. Step 4: Simplify right side
    407x = 210,347.59
  5. Step 5: Solve for x
    x = 210,347.59/407
  6. Step 6: Final answer
    x = 516.82

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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.