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Finding the Fourth Proportional to 401.10, 598.35 and 370.50

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Solution

The fourth proportional to 401.10, 598.35 and 370.50 is: 552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.10 : 598.35 = 370.50 : x
  2. Step 2: Convert to fraction form
    401.10/598.35 = 370.50/x
  3. Step 3: Cross multiply
    401.10x = 598.35 × 370.50
  4. Step 4: Simplify right side
    401.10x = 221,688.68
  5. Step 5: Solve for x
    x = 221,688.68/401.10
  6. Step 6: Final answer
    x = 552.70

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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.