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Finding the Fourth Proportional to 433.98, 598.23 and 278.64

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Solution

The fourth proportional to 433.98, 598.23 and 278.64 is: 384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.98 : 598.23 = 278.64 : x
  2. Step 2: Convert to fraction form
    433.98/598.23 = 278.64/x
  3. Step 3: Cross multiply
    433.98x = 598.23 × 278.64
  4. Step 4: Simplify right side
    433.98x = 166,690.81
  5. Step 5: Solve for x
    x = 166,690.81/433.98
  6. Step 6: Final answer
    x = 384.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.