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Finding the Fourth Proportional to 1,465.21, 2,197.64 and 369.50

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Solution

The fourth proportional to 1,465.21, 2,197.64 and 369.50 is: 554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.21 : 2,197.64 = 369.50 : x
  2. Step 2: Convert to fraction form
    1,465.21/2,197.64 = 369.50/x
  3. Step 3: Cross multiply
    1,465.21x = 2,197.64 × 369.50
  4. Step 4: Simplify right side
    1,465.21x = 812,017.92
  5. Step 5: Solve for x
    x = 812,017.92/1,465.21
  6. Step 6: Final answer
    x = 554.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.