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Finding the Fourth Proportional to 401.84, 599.51 and 358.01

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Solution

The fourth proportional to 401.84, 599.51 and 358.01 is: 534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.84 : 599.51 = 358.01 : x
  2. Step 2: Convert to fraction form
    401.84/599.51 = 358.01/x
  3. Step 3: Cross multiply
    401.84x = 599.51 × 358.01
  4. Step 4: Simplify right side
    401.84x = 214,633.23
  5. Step 5: Solve for x
    x = 214,633.23/401.84
  6. Step 6: Final answer
    x = 534.13

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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.